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Finding the Fourth Proportional to 1,197.58, 1,649.04 and 1,086.37

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Solution

The fourth proportional to 1,197.58, 1,649.04 and 1,086.37 is: 1,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.58 : 1,649.04 = 1,086.37 : x
  2. Step 2: Convert to fraction form
    1,197.58/1,649.04 = 1,086.37/x
  3. Step 3: Cross multiply
    1,197.58x = 1,649.04 × 1,086.37
  4. Step 4: Simplify right side
    1,197.58x = 1,791,467.58
  5. Step 5: Solve for x
    x = 1,791,467.58/1,197.58
  6. Step 6: Final answer
    x = 1,495.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.